COSMOS Chapter 4 Solution 27 | Michigan State University - Edubirdie

University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2024
Views:

356

Pages:

1
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 27. Free-Body Diagram: Geometry: ( 2.52 )2 + ( 0.39 )2 Distance BC = = 2.55 m Equilibrium for mast: (a)  2.52    TBC  ( 0.75 m ) − (135 N )( 2.16 m ) − ( 225 N )( 0.66 m ) = 0   2.55   ΣΜ A = 0: TBC = 593.79 N (b) or TBC = 594 N  2.52  Ax −   ( 593.79 N ) − 225 N − 135 Ν = 0  2.55  ΣFx = 0: Ax = 586.80 N  0.39  Ay +   ( 593.79 N ) − 225 N − 135 Ν = 0  2.55  ΣFy = 0: Ay = 269.19 N Ax2 + Ay2 = Thus: A= and θ = tan −1 Ay Ax ( 586.80 )2 + ( 269.19 )2 = tan −1 = 645.60 N 269.19 = 24.643° 586.80 ∴ A = 646 N 24.6°

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